67166125 has 16 divisors (see below), whose sum is σ = 90273456. Its totient is φ = 49598400.

The previous prime is 67166107. The next prime is 67166161. The reversal of 67166125 is 52166176.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16670889 + 50495236 = 4083^2 + 7106^2 .

It is not a de Polignac number, because 67166125 - 2¹³ = 67157933 is a prime.

It is a super-2 number, since 2×67166125² = 9022576695031250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19042 + ... + 22291.

It is an arithmetic number, because the mean of its divisors is an integer number (5642091).

Almost surely, 2^67166125 is an apocalyptic number.

67166125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67166125 is a deficient number, since it is larger than the sum of its proper divisors (23107331).

67166125 is a wasteful number, since it uses less digits than its factorization.

67166125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41361 (or 41351 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 67166125 is about 8195.4941888821. The cubic root of 67166125 is about 406.4902169053.

The spelling of 67166125 in words is "sixty-seven million, one hundred sixty-six thousand, one hundred twenty-five".